Chapter 2: Q65E (page 155)
Draw the graph of the function f (x) = [x] + [x/2] from R to R.
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conjecture a formula for the terms of the sequence that begins and find the next three terms of your sequence.
a) Show that if a set S has cardinality m, where m is a positive integer, then there is a one-to-one correspondence between S and the set {1,2,...m}
b) Show that if S and T are two sets each with m elements, where m is a positive integer, then there is a one-to-one correspondence between S and T.
a) Show that a partial function from A to B can be viewed as a function from A to B {u} , where u is not an element of B and
b) Using the construction in (a), find the function f* corresponding to each partial function in exercise 77.
Show that the set of odd integers is countable
Sum both sides of the identity to and use Exercise 35 to find
a) a formula for (the sum of the first n odd natural numbers).
b) a formula for
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